2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),
B(0,4), C(-2,1), and D(-4,3). Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD after a rotation of 180° about the origin. State the
coordinates of the vertices of A'B'C'D'.

Answers

Answer 1

Answer:

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

Step-by-step explanation:

When a point (h,k) is roated 180 degrees about the origin it becomes (-h,-k) which means that the new point after rotation is the negative of the previous.

Given vertices are:

A(-1,8),  B(0,4), C(-2,1), and D(-4,3)

The new vertices will be:

[tex]A(-1,8) => A'(1,-8)\\B(0,4)=> B'(0,-4)\\C(-2,1)=> C'(2,-1)\\D(-4,3)=> D'(4,-3)[/tex]

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)


Related Questions

18 / x equals negative 2​

Answers

Answer:

x = -1/9

Step-by-step explanation:

[tex]\frac{18}{x} = -2[/tex] multiply by 1/18 to cancel out

[tex]x = -2(\frac{1}{18} )\\x = -\frac{2}{18} \\x = -\frac{1}{9}[/tex]

Hey there!

18/x = -2

Multiply both sides by x

-2x = 18

Divide both of your sides by -2

-2x/-2 = 18/-2

Cancel out: -2x/-2 because it gives you 1

Keep: 18/-2 because it helps us solve for our answer

x = 18/-2

18/-2 = 18 divided by -2 ➡️ -9

Thus your answer is: x = -9 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

this picture is my problem, no one is helping me and idk what to do

Answers

Answer:

listen when in doubt go with c

Step-by-step explanation:

Solve the inequality

Answers

Answer:

16(1/4x-1/2)>24-2x

Use the distributive property on the left side:

4x -8 > 24-2x

Add 2x to each side:

6x -8 > 24

Add 8 to each side:

6x >32

Divide both sides by 6:

x > 32/6 reduces to 16/3

If this is helpful plz mark brainliest

Enter an equation in standard form to model the linear situation. A bathtub that holds 42 gallons of water contains 12 gallons of water. You begin filling it, and after 5 minutes, the tub is full.

Answers

Answer:

5x+12y= 42

Step-by-step explanation:

What is 83 1/3% of 30

Answers

answer: 25

step by step explanation:
yw
hope this helps
give brainliest plz

A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?

Answers

Answer: 20 miles? lol

Step-by-step explanation:

Answer is 20

Explanation:

50% of 20 is 10.

10 + 10 = 20.

Juan reads 300 pages 5 days which reading rate is equivalent

Answers

60 pages per day!

It is shown that One is reading 300 pages in five days so we need to find a reading rate which would be the total number of pages one reads over the number of days so the substitute does values by doing 300/5 you would get 60 pages per day

Map of the Aquarium at the City Zoo A triangle with points whales, sharks, and dolphins. The distance from whales to sharks is 18 feet and whales to dolphins is 27 feet. A triangle with points dolphins, stingrays, and penguins. The distance from dolphins to stingrays is 42 feet and from stingrays to penguins is x feet. The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet

Answers

Answer:

Its 28

Step-by-step explanation:

Answer:

the answer is 28 feet.

Step-by-step explanation:

If a number is divisible by 3, then its odd

Answers

Answer:

and? obviously bc 3 isnt a even number so then the answer wont be even

Is 78 − –5 positive or negative?

Answers

Answer: it would be a positive

Answer:

the answer is positive because 78 is bigger than -5

Step-by-step explanation:

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. X=2y-7 and 4x+y=71

Answers

Answer:

(15, 11).

Step-by-step explanation:

Given the system of equation;

X=2y-7 ..... 1

4x+y=71 ....2

Substitute 1 into2;

4(2y-7) + y = 71

8y - 28 + y = 71

9y - 28 = 71

9y = 71 + 28

9y = 99

y = 11

Substitute y = 11 into 1;

x = 2y - 7

x = 2(11)-7

x = 22-7

x = 15

hence the solution to the equation is (15, 11).

12+(-4) and i will give brainllest

Answers

Answer:

8

Step-by-step explanation:

-25m-10+10m+15
:)
pls help

Answers

Answer:

-5(3m-10

Step-by-step explanation:

Answer:

-15m+5

Step-by-step explanation:

-25 and 10 is -15 bc of the signs and the same with -10 and 15

How did the Pan-African movement lay the foundation for Kenya's independence in 1963?

Answers

Answer:

The British controlled Africa, but feelings of nationalism started by the pan Africa movement lead to more and more people in Africa wanting their independence. ... Nationalism lead to the Kenyans feeling that their land was taken unfairly. Eventually, conflict led to independence.

Step-by-step explanation:

Can someone please help?
What property goes on the right side?
example: addition, subtraction, etc.

Answers

Answer:

3. definiton of angle bisector

4. substitution property (of equality)

5. 2x+14=34

5. subtraction property of equality

6. 2x = 20

6. subtraction property of equality

Select repeating or nonrepeating to correctly classify each decimal

Answers

Answer:

repeating

repeating

not repeating

repeating

Step-by-step explanation:

Please help me out!​

Answers

Answer:

A. [tex] \sqrt {38}[/tex]

Step-by-step explanation:

Since the given point lie between 6 and 7 and is close to 6.

Therefore, the given point represents the [tex] \sqrt {38}[/tex].

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.

Answers

Answer:

A and D

Step-by-step explanation:

I took the assignment

Answer:

a, d

Step-by-step explanation:

Can Somone please help me i give you 20 points for the correct answer please help me.

Answers

Yea I need help too someone can you answer my question if ur super duper smart at ALGEBRAAA

Angelina paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake? *

Answers

Answer:

the answer would be 1.82

Step-by-step explanation:

it is this answer because you have to see how much money goes into one cupcake which to put stuff into different places you have to divide 12/6.60

Answer:

$0.55 Hope this helps!!!!!!!

Step-by-step explanation:

Remember that is that a dozen is equal to 12.

12x= 6.60

/12     /12

x=.55

what is the slope of the line that passes through the points
(5,1) and (2,-7)
A.) 3/8
B.) -8/3
C.) 8/3
D.) -3/8

Answers

Slope is the change in y over the change in x:

Slope = (-7 - 1) / (2 - 5)

Slope = -8/-3

Slope = 8/3

(y2-y1)/(x2-x1)
(-7-1)/(2-5) = -8/-3
It would be C. 8/3

help me answer this question PLS

Answers

Answer:

PQ+QR are the 2 line segments that make up PR

Therefore, 18+9=PR

PR=27

Step-by-step explanation:

i have no idea how to solve this. please help?

Answers

i believe it’s c

π=C/2r

Ethan has some money in his savings account when he starts his new job as a Jimmy John's delivery guy. After starting, he decides to save the same amount from his paycheck each month. After 3 months, Ethan has 560 dollars in his savings, and after 6 months, he has 920 dollars. Find an equation that gives the amount saved ("y") after "x" months.

Answers

Answer:

y = 360x+200

Step-by-step explanation:

We will use the concept of finding the equation of a line using two coordinates (x1,y1) and (x2,y2)

If after 3 months, ethan has 560 dollars in his savings, and after 6 months, he has 920 dollars, this can be represented as coordinate points (3,560) and (6,920)

The equation of a line in point slope form is expressed as;

y = mx+c

m is the slope = ∆y/∆x = 920-560/6-3

m = 360/3

m = 120

Get the intercept;

Substitute m = 120 and any of the points to get c, using the point (3,560)

x = 3, y = 560

560 = 120(3)+c

560 = 360+c

c = 560-360

c = 200

Get the required equation by substituting m and c into y = MX+c

y = 360x+200

Find the distance between the points given.
(0, -6) and (9,6)
9
15
square root of 26

Answers

Answer:

15

Step-by-step explanation:

Using the distance formula will help you with this!


These two triangles are similar what is the measure of angle M?

Answers

Answer:

30

Step-by-step explanation:

We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:

180=102+48+m

180=150+m

30=m

Answer:

A. 30 degrees

Step-by-step explanation:

They are similar aka the same or congruent and since you know all three angles you just match them up.

3. Determine whether these two lines are parallel, perpendicular, or neither. 1 point
8x + y = 7, 4x + 3y = 12 *
parallel,
perpendicular or
neither

Answers

Answer:

The two lines are neither

Step-by-step explanation:

Parallel lines have equal slopes and different y-interceptsPerpendicular lines have a product of their slopes = -1The slope of a line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]

∵ The equations of the lines are

8x + y = 7 ⇒ 1st4x + 3y = 12 ⇒ 2nd

∵ In the 1st equation a = 8 and b = 1

m1 = [tex]\frac{-8}{1}[/tex] = -8

∴ The slope of the 1st line is -8

∵ In the 2nd equation a = 4 and b = 3

m2 = [tex]\frac{-4}{3}[/tex]

∴ The slope of the 2nd line is [tex]\frac{-4}{3}[/tex]

→ By using the facts above

m1 ≠ m2

∴ The two lines are not parallel

∵ m1 × m2 = -8 × [tex]\frac{-4}{3}[/tex] = [tex]\frac{32}{3}[/tex]

m1 × m2 ≠ -1

∴ The two lines are not perpendicular

The two lines are neither parallel nor perpendicular

how many 4-digit number are divisible by 7,8,10 and 25​

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.

  LCM(7, 8, 10, 25) = 7×8×25 = 1400

There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...

  1400, 2800, 4200, 5600, 7000, 8400, 9800

Marie can find the volume of a cube by using the formula V = 53, where s represents the side length of the cube. If Marie's
cube has a side length of 2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction.

Answers

Answer:

The volume of her cube is 15.625cm^3

Step-by-step explanation:

The formula V = s³, where s represents the side length of the cube.


2. She needs 4.5 ounces of crickets for each snake. How many ounces of
crickets are needed if the number of snakes is:
a. 10
b. 6
C. X

Answers

Answer:

a. 45 ounces

b. 27 ounces

c. 4.5x ounces

Step-by-step explanation:

a. 4.5(10) = 45

b. 4.5(6) = 27

c. 4.5(x) = 4.5x

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